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Finding the Fourth Proportional to 3,047.76, 4,205.89 and 1,650.50

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Solution

The fourth proportional to 3,047.76, 4,205.89 and 1,650.50 is: 2,277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.76 : 4,205.89 = 1,650.50 : x
  2. Step 2: Convert to fraction form
    3,047.76/4,205.89 = 1,650.50/x
  3. Step 3: Cross multiply
    3,047.76x = 4,205.89 × 1,650.50
  4. Step 4: Simplify right side
    3,047.76x = 6,941,821.45
  5. Step 5: Solve for x
    x = 6,941,821.45/3,047.76
  6. Step 6: Final answer
    x = 2,277.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.